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813418117 is a prime number
BaseRepresentation
bin110000011110111…
…100011010000101
32002200120220212221
4300132330122011
53131213334432
6212414212341
726104640251
oct6036743205
92080526787
10813418117
11388176086
121a84b40b1
13cc6a04c5
147a05d261
154b627b97
hex307bc685

813418117 has 2 divisors, whose sum is σ = 813418118. Its totient is φ = 813418116.

The previous prime is 813418093. The next prime is 813418121. The reversal of 813418117 is 711814318.

813418117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 793041921 + 20376196 = 28161^2 + 4514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-813418117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813418217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406709058 + 406709059.

It is an arithmetic number, because the mean of its divisors is an integer number (406709059).

Almost surely, 2813418117 is an apocalyptic number.

It is an amenable number.

813418117 is a deficient number, since it is larger than the sum of its proper divisors (1).

813418117 is an equidigital number, since it uses as much as digits as its factorization.

813418117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 34.

The square root of 813418117 is about 28520.4859180204. The cubic root of 813418117 is about 933.4791319709.

The spelling of 813418117 in words is "eight hundred thirteen million, four hundred eighteen thousand, one hundred seventeen".